9 citations · 17 across the 15 of their papers we have counts for
19 papers
Equivariant Steklov homogenisation and stability of spectral representations
Samuel Audet-Beaumont, Maxime Fortier Bourque, Alexandre Girouard
We prove that isolated spectral clusters preserve their finite-group representation under equivariant spectral convergence. In particular, an irreducible limiting eigenspace cannot…
Busemann points are nowhere dense
Aitor Azemar, Maxime Fortier Bourque
We prove that the set of Busemann points (the limits of almost-geodesic rays) is nowhere dense in the horoboundary of the Teichmüller metric for all Teichmüller spaces of complex d…
The space of immersed polygons
Maxime Fortier Bourque
We use the Schwarz-Christoffel formula to show that for every , the space of labelled immersed -gons in the plane up to similarity is homeomorphic to $\mathbb{R}^{2n-4}…
The extremal length systole of the cube punctured at its vertices
Samuel Dobchies, Maxime Fortier Bourque
We prove that the extremal length systole of the cube punctured at its vertices is realized by the 12 curves surrounding its edges and give a characterization of the corresponding…
Three counterexamples to a conjecture of Colin de Verdière on multiplicity
Maxime Fortier Bourque, Émile Gruda-Mediavilla, Bram Petri +1
We exhibit closed hyperbolic surfaces of genus , , and such that the multiplicity of the first nonzero eigenvalue of their Laplacian is larger than the maximum conject…
Failure of the well-rounded retract for Outer space and Teichmüller space
Maxime Fortier Bourque
The well-rounded retract for is defined as the set of flat tori of unit volume and dimension whose systoles generate a finite-index subgroup in homo…